Rational approximation to Euler’s constant at a geometric rate of convergence

2020 ◽  
Vol 89 (325) ◽  
pp. 2553-2561
Author(s):  
José A. Adell ◽  
Alberto Lekuona
Keyword(s):  
Rate Of Convergence ◽  
Rational Approximation ◽  
Euler’S Constant ◽  
Euler's Constant

OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT

2010 ◽  
Vol 08 (01) ◽  
pp. 99-107 ◽  
Author(s):  
CRISTINEL MORTICI
Keyword(s):  
Rate Of Convergence ◽  
Original Sequence ◽  
Euler’S Constant ◽  
New Class ◽  
Optimal Values ◽  
Euler's Constant

A new class of sequences convergent to Euler's constant is investigated. Special choices of parameters show that the class includes the original sequence defined by Euler, as well as more recently defined sequences due to DeTemple [1] and Vernescu [9]. It is shown how the rate of convergence of the sequences can be improved by computing optimal values of the parameters.

Some new improved classes of convergence towards Euler’s constant

2014 ◽  
Vol 243 ◽  
pp. 24-32 ◽  
Author(s):  
Dawei Lu
Keyword(s):  
Euler’S Constant ◽  
Euler's Constant

Some New Sequences and Inequalities Related to Euler’s Constant

2018 ◽  
Vol 73 (4) ◽  
Author(s):  
Jinghai Feng ◽  
Dawei Lu ◽  
Zixuan Wen
Keyword(s):  
Euler’S Constant ◽  
Euler's Constant

A Matrix Representation for Euler's Constant, γ

1999 ◽  
Vol 106 (5) ◽  
pp. 452-454 ◽  
Author(s):  
Frank K. Kenter
Keyword(s):  
Matrix Representation ◽  
Euler’S Constant ◽  
Euler's Constant

A FUNCTIONAL INEQUALITY FOR THE GAMMA FUNCTION

2013 ◽  
Vol 11 (02) ◽  
pp. 1350010
Author(s):  
HORST ALZER
Keyword(s):  
Gamma Function ◽  
Functional Inequality ◽  
Real Numbers ◽  
Positive Real ◽  
Euler’S Constant ◽  
Euler's Constant

Let α and β be real numbers. We prove that the functional inequality [Formula: see text] holds for all positive real numbers x and y if and only if [Formula: see text] Here, γ denotes Euler's constant.

scholarly journals Monotone and fast computation of Euler’s constant

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
José A Adell ◽  
Alberto Lekuona
Keyword(s):  
Fast Computation ◽  
Euler’S Constant ◽  
Euler's Constant

scholarly journals Legendre modified moments for Euler's constant

2008 ◽  
Vol 219 (2) ◽  
pp. 484-492 ◽  
Author(s):  
Marc Prévost
Keyword(s):  
Euler’S Constant ◽  
Euler's Constant ◽  
Modified Moments
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